---
_id: '40184'
abstract:
- lang: eng
  text: <jats:p>This note presents an analogue of the classical Heisenberg-Weyl uncertainty
    principle for the Dunkl transform on ℝ<jats:sup><jats:italic>N</jats:italic></jats:sup>.
    Its proof is based on expansions with respect to generalised Hermite functions.</jats:p>
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
citation:
  ama: Rösler M. An uncertainty principle for the Dunkl transform. <i>Bulletin of
    the Australian Mathematical Society</i>. 1999;59(3):353-360. doi:<a href="https://doi.org/10.1017/s0004972700033025">10.1017/s0004972700033025</a>
  apa: Rösler, M. (1999). An uncertainty principle for the Dunkl transform. <i>Bulletin
    of the Australian Mathematical Society</i>, <i>59</i>(3), 353–360. <a href="https://doi.org/10.1017/s0004972700033025">https://doi.org/10.1017/s0004972700033025</a>
  bibtex: '@article{Rösler_1999, title={An uncertainty principle for the Dunkl transform},
    volume={59}, DOI={<a href="https://doi.org/10.1017/s0004972700033025">10.1017/s0004972700033025</a>},
    number={3}, journal={Bulletin of the Australian Mathematical Society}, publisher={Cambridge
    University Press (CUP)}, author={Rösler, Margit}, year={1999}, pages={353–360}
    }'
  chicago: 'Rösler, Margit. “An Uncertainty Principle for the Dunkl Transform.” <i>Bulletin
    of the Australian Mathematical Society</i> 59, no. 3 (1999): 353–60. <a href="https://doi.org/10.1017/s0004972700033025">https://doi.org/10.1017/s0004972700033025</a>.'
  ieee: 'M. Rösler, “An uncertainty principle for the Dunkl transform,” <i>Bulletin
    of the Australian Mathematical Society</i>, vol. 59, no. 3, pp. 353–360, 1999,
    doi: <a href="https://doi.org/10.1017/s0004972700033025">10.1017/s0004972700033025</a>.'
  mla: Rösler, Margit. “An Uncertainty Principle for the Dunkl Transform.” <i>Bulletin
    of the Australian Mathematical Society</i>, vol. 59, no. 3, Cambridge University
    Press (CUP), 1999, pp. 353–60, doi:<a href="https://doi.org/10.1017/s0004972700033025">10.1017/s0004972700033025</a>.
  short: M. Rösler, Bulletin of the Australian Mathematical Society 59 (1999) 353–360.
date_created: 2023-01-26T08:19:30Z
date_updated: 2023-01-26T17:40:13Z
department:
- _id: '555'
doi: 10.1017/s0004972700033025
extern: '1'
intvolume: '        59'
issue: '3'
keyword:
- General Mathematics
language:
- iso: eng
page: 353-360
publication: Bulletin of the Australian Mathematical Society
publication_identifier:
  issn:
  - 0004-9727
  - 1755-1633
publication_status: published
publisher: Cambridge University Press (CUP)
status: public
title: An uncertainty principle for the Dunkl transform
type: journal_article
user_id: '93826'
volume: 59
year: '1999'
...